SOLUTION: Assume that the population of heights of male college students is approximately normally distributed with mean of 69.66 and standard deviation of 6.08 inches. A random sample of 84

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Question 712542: Assume that the population of heights of male college students is approximately normally distributed with mean of 69.66 and standard deviation of 6.08 inches. A random sample of 84 height is obtained. find the mean and standard error of the distribution. find P(x>68.75)
Answer by stanbon(75887) About Me  (Show Source):
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Assume that the population of heights of male college students is approximately normally distributed with mean of 69.66 and standard deviation of 6.08 inches.
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A random sample of 84 height is obtained. find the mean and standard error of the distribution of sample means.
mean of the sample means = 69.66
std of the sample means = 6.08/sqrt(84) = 0.6634
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Find P(x-bar > 68.75)
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z(68.75) = (68.75-69.66)/0.6634 = -1.3718
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P(x-bar > 68.75) = P(z > -1.3618) = 0.9149
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Cheers,
Stan H.
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